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-<?php
-/* vim: set expandtab tabstop=4 shiftwidth=4 foldmethod=marker: */
-// +-----------------------------------------------------------------------------+
-// | Copyright (c) 2003 Sérgio Gonçalves Carvalho |
-// +-----------------------------------------------------------------------------+
-// | This file is part of Structures_Graph. |
-// | |
-// | Structures_Graph is free software; you can redistribute it and/or modify |
-// | it under the terms of the GNU Lesser General Public License as published by |
-// | the Free Software Foundation; either version 2.1 of the License, or |
-// | (at your option) any later version. |
-// | |
-// | Structures_Graph is distributed in the hope that it will be useful, |
-// | but WITHOUT ANY WARRANTY; without even the implied warranty of |
-// | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
-// | GNU Lesser General Public License for more details. |
-// | |
-// | You should have received a copy of the GNU Lesser General Public License |
-// | along with Structures_Graph; if not, write to the Free Software |
-// | Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA |
-// | 02111-1307 USA |
-// +-----------------------------------------------------------------------------+
-// | Author: Sérgio Carvalho <sergio.carvalho@portugalmail.com> |
-// +-----------------------------------------------------------------------------+
-//
-/**
- * This file contains the definition of the Structures_Graph_Manipulator_AcyclicTest graph manipulator.
- *
- * @see Structures_Graph_Manipulator_AcyclicTest
- * @package Structures_Graph
- */
-
-/* dependencies {{{ */
-/** */
-require_once 'PEAR.php';
-/** */
-require_once 'Structures/Graph.php';
-/** */
-require_once 'Structures/Graph/Node.php';
-/* }}} */
-
-/* class Structures_Graph_Manipulator_AcyclicTest {{{ */
-/**
- * The Structures_Graph_Manipulator_AcyclicTest is a graph manipulator
- * which tests whether a graph contains a cycle.
- *
- * The definition of an acyclic graph used in this manipulator is that of a
- * DAG. The graph must be directed, or else it is considered cyclic, even when
- * there are no arcs.
- *
- * @author Sérgio Carvalho <sergio.carvalho@portugalmail.com>
- * @copyright (c) 2004 by Sérgio Carvalho
- * @package Structures_Graph
- */
-class Structures_Graph_Manipulator_AcyclicTest {
- /* _nonVisitedInDegree {{{ */
- /**
- *
- * This is a variant of Structures_Graph::inDegree which does
- * not count nodes marked as visited.
- *
- * @access private
- * @return integer Number of non-visited nodes that link to this one
- */
- function _nonVisitedInDegree(&$node) {
- $result = 0;
- $graphNodes =& $node->_graph->getNodes();
- foreach (array_keys($graphNodes) as $key) {
- if ((!$graphNodes[$key]->getMetadata('acyclic-test-visited')) && $graphNodes[$key]->connectsTo($node)) $result++;
- }
- return $result;
-
- }
- /* }}} */
-
- /* _isAcyclic {{{ */
- /**
- * @access private
- */
- function _isAcyclic(&$graph) {
- // Mark every node as not visited
- $nodes =& $graph->getNodes();
- $nodeKeys = array_keys($nodes);
- $refGenerator = array();
- foreach($nodeKeys as $key) {
- $refGenerator[] = false;
- $nodes[$key]->setMetadata('acyclic-test-visited', $refGenerator[sizeof($refGenerator) - 1]);
- }
-
- // Iteratively peel off leaf nodes
- do {
- // Find out which nodes are leafs (excluding visited nodes)
- $leafNodes = array();
- foreach($nodeKeys as $key) {
- if ((!$nodes[$key]->getMetadata('acyclic-test-visited')) && Structures_Graph_Manipulator_AcyclicTest::_nonVisitedInDegree($nodes[$key]) == 0) {
- $leafNodes[] =& $nodes[$key];
- }
- }
- // Mark leafs as visited
- for ($i=sizeof($leafNodes) - 1; $i>=0; $i--) {
- $visited =& $leafNodes[$i]->getMetadata('acyclic-test-visited');
- $visited = true;
- $leafNodes[$i]->setMetadata('acyclic-test-visited', $visited);
- }
- } while (sizeof($leafNodes) > 0);
-
- // If graph is a DAG, there should be no non-visited nodes. Let's try to prove otherwise
- $result = true;
- foreach($nodeKeys as $key) if (!$nodes[$key]->getMetadata('acyclic-test-visited')) $result = false;
-
- // Cleanup visited marks
- foreach($nodeKeys as $key) $nodes[$key]->unsetMetadata('acyclic-test-visited');
-
- return $result;
- }
- /* }}} */
-
- /* isAcyclic {{{ */
- /**
- *
- * isAcyclic returns true if a graph contains no cycles, false otherwise.
- *
- * @return boolean true iff graph is acyclic
- * @access public
- */
- function isAcyclic(&$graph) {
- // We only test graphs
- if (!is_a($graph, 'Structures_Graph')) return Pear::raiseError('Structures_Graph_Manipulator_AcyclicTest::isAcyclic received an object that is not a Structures_Graph', STRUCTURES_GRAPH_ERROR_GENERIC);
- if (!$graph->isDirected()) return false; // Only directed graphs may be acyclic
-
- return Structures_Graph_Manipulator_AcyclicTest::_isAcyclic($graph);
- }
- /* }}} */
-}
-/* }}} */
-?>